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On a p-stable multiple integral. II
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  • Published: July 1988

On a p-stable multiple integral. II

  • W. Krakowiak1 &
  • J. Szulga1 

Probability Theory and Related Fields volume 78, pages 449–453 (1988)Cite this article

  • 65 Accesses

  • 4 Citations

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Summary

We construct a multiple strictly p-stable stochastic integral as a Dunford type integral with respect to a L q-valued vector measure, 1qp≧2.

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References

  1. Dunford, N., Schwartz, J.: Linear operators, part I. New York: Wiley 1958

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  2. Krakowiak, W., Szulga, J.: Summability and contractivity of random multilinear forms. Case Western Reserve University Preprint No. 86-61

  3. Krakowiak, W., Szulga, J.: On p-stable multiple integral. Part I. Probab. Th. Rel. Fields 78, 437–448(1988)

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  4. Mazur, S., Orlicz, W.: Grundlegende Eigenschaften der polynomischen Operationen. Studia Math. 5, 50–68, 179–189 (1935)

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  5. Krakowiak, W., Szulga, J.: A multiple stochastic integral with respect to a strictly p-stable measure. Ann. Probab., 16, 764–777 (1988)

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  6. Kallenberg, O., Szulga, J.: Multiple integration with respect to Poisson and Levy Processes. Auburn University Preprint 1988

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Authors and Affiliations

  1. Institute of Mathematics, Wrocŀaw University, pl. Grunwaldzki 2-4, PL-50-384, Wrocŀaw, Poland

    W. Krakowiak & J. Szulga

Authors
  1. W. Krakowiak
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  2. J. Szulga
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Cite this article

Krakowiak, W., Szulga, J. On a p-stable multiple integral. II. Probab. Th. Rel. Fields 78, 449–453 (1988). https://doi.org/10.1007/BF00334206

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  • Received: 10 June 1985

  • Revised: 26 January 1988

  • Issue Date: July 1988

  • DOI: https://doi.org/10.1007/BF00334206

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Keywords

  • Stochastic Process
  • Probability Theory
  • Statistical Theory
  • Vector Measure
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